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Let 0 denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then :

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Important Questions on Physical World and Measurement

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If Surface tension (S), Moment of Inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be:
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The percentage errors in the measurement of mass and speed are 2% and 3%, respectively. How much will be the maximum error in the estimation of kinetic energy obtained by measuring mass and speed?
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How many significant figures should be written in the sum 4.56 g+9.032 g+580.0078 g+540.439 g ?
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The diameter and height of a cylinder are measured by a meter scale to be 12.6±0.1cm and 34.2±0.1cm, respectively. What will be the value of its volume in appropriate significant figures?
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The period of oscillation of a simple pendulum is T=2πlg.  Measured value of l is 20.0 cm, known to 1 mm  accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wristwatch of 1 s resolution. The accuracy in the determination of g is 
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The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physical quantity A= P 3 Q 2 R S . The maximum percentage error in the value of A will be:
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The area of a square is 5.29 cm2. The area of 7 such squares taking into account the significant figures is:
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The relative error in the determination of the surface area of a sphere is α . The relative error in the determination of its volume is